Write each equation in slope-intercept form. 1. x-y = x = 5y 3. 4x + 7y = x – 1/5y = y + 8.1= 7.5x
Lesson 3.1 Solving Systems by Graphing or Substitution
System of equations are frequently used to model events that occur in daily life. A system of equations can be used to determine business profits or create exact mixtures.
A system of equations is two or more equations with two or more variables. Our goal is to find the x and y values that make both equations true at the same time.
Our goal is to find the x and y values that make both equations true at the same time. This is called the solution.
Is (3,2) a solution?
One solution No SolutionsInfinite Solutions
How do we solve a system of equations? Graphing Substitution Elimination
Method 1: Graphing Example Graph:
Solve by graphing:
EXAMPLE 1: y = x + 3 y = 2x – 4
2x + y = 3 3x – 2y = 8
The solution is (42,17).The solution is (-3,5,-4). 3t – r =9 -2t + r = 8 x – y –z = -4 5x + 2y -3z = 7 6z = -24
Lesson 3.1 Pages (5, 6,15,17, 18, 40(a-d), 48, 50, 60-78evens)